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41214421431 = 3341431396229
BaseRepresentation
bin100110011000100100…
…100010100110110111
310221101022012112112000
4212120210202212313
51133401342441211
630533400030343
72656221542031
oct463044424667
9127338175460
1041214421431
111652a514917
127ba27623b3
133b6a855c21
141dcd9b2c51
151113420656
hex9989229b7

41214421431 has 64 divisors (see below), whose sum is σ = 64473024000. Its totient is φ = 25990191360.

The previous prime is 41214421411. The next prime is 41214421453. The reversal of 41214421431 is 13412441214.

41214421431 is a `hidden beast` number, since 412 + 1 + 4 + 4 + 214 + 31 = 666.

It is not a de Polignac number, because 41214421431 - 25 = 41214421399 is a prime.

It is a super-2 number, since 2×412144214312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41214421395 and 41214421404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41214421411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6613425 + ... + 6619653.

It is an arithmetic number, because the mean of its divisors is an integer number (1007391000).

Almost surely, 241214421431 is an apocalyptic number.

41214421431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41214421431 is a deficient number, since it is larger than the sum of its proper divisors (23258602569).

41214421431 is a wasteful number, since it uses less digits than its factorization.

41214421431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6455 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 41214421431 its reverse (13412441214), we get a palindrome (54626862645).

The spelling of 41214421431 in words is "forty-one billion, two hundred fourteen million, four hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 41 43 123 129 139 369 387 417 1107 1161 1251 1763 3753 5289 5699 5977 6229 15867 17097 17931 18687 47601 51291 53793 56061 153873 161379 168183 245057 255389 267847 735171 766167 803541 865831 2205513 2298501 2410623 2597493 6616539 6895503 7231869 7792479 10981727 23377437 32945181 35499071 37230733 98835543 106497213 111692199 296506629 319491639 335076597 958474917 1005229791 1526460053 4579380159 13738140477 41214421431